82978564 has 24 divisors (see below), whose sum is σ = 154035000. Its totient is φ = 38977536.

The previous prime is 82978559. The next prime is 82978601. The reversal of 82978564 is 46587928.

It can be written as a sum of positive squares in 4 ways, for example, as 39312900 + 43665664 = 6270^2 + 6608^2 .

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65812 + ... + 67060.

It is an arithmetic number, because the mean of its divisors is an integer number (6418125).

Almost surely, 2^82978564 is an apocalyptic number.

It is an amenable number.

82978564 is a deficient number, since it is larger than the sum of its proper divisors (71056436).

82978564 is a wasteful number, since it uses less digits than its factorization.

82978564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2245 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 82978564 is about 9109.2570498367. The cubic root of 82978564 is about 436.1695115640.

It can be divided in two parts, 8297 and 8564, that added together give a palindrome (16861).

The spelling of 82978564 in words is "eighty-two million, nine hundred seventy-eight thousand, five hundred sixty-four".